On the Generalization of Soft Dimonoids

Gülay Oğuz

Article Details

On the Generalization of Soft Dimonoids

Authors:

Gülay Oğuz

Publisher:

Igdir University

Main Topics:

Grup Teorisi ve Genellemeler | Matematiksel Mantık | Kümeler Teorisi | Kafesler ve Evrensel Cebir

Journal:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.692-699

Document Type:

Article

Publication Date:

1/2025

Document Language:

English

Document ID (Org No.):

2001345220

pISSN:

2536-4618

Keywords:

Abstract:

 Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences. Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models. Soft sets have reached a wide potential by being applied to various areas. In this study, soft hyperdimonoids are introduced by presenting a soft approach to the concept of hyperdimomoids, which is a generalisation of dimonoids. The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

 Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences. Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models. Soft sets have reached a wide potential by being applied to various areas. In this study, soft hyperdimonoids are introduced by presenting a soft approach to the concept of hyperdimomoids, which is a generalisation of dimonoids. The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

 Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences. Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models. Soft sets have reached a wide potential by being applied to various areas. In this study, soft hyperdimonoids are introduced by presenting a soft approach to the concept of hyperdimomoids, which is a generalisation of dimonoids. The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

 Different models have been developed for solving complex problems involving uncertainty in many fields, especially in mathematics, engineering, medicine and computer sciences. Soft set theory, proposed by the Russian mathematician Molodtsov, is one of these models. Soft sets have reached a wide potential by being applied to various areas. In this study, soft hyperdimonoids are introduced by presenting a soft approach to the concept of hyperdimomoids, which is a generalisation of dimonoids. The substructures of soft hyperdimonoids, which are defined as a generalisation of soft dimonoids, are examined and some structural properties are also studied in detail.

Article Details

On the Generalization of Soft Dimonoids

Authors:

Gülay Oğuz

Publisher:

Igdir University

Main Topics:

Grup Teorisi ve Genellemeler | Matematiksel Mantık | Kümeler Teorisi | Kafesler ve Evrensel Cebir

Journal:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.692-699

Document Type:

Article

Publication Date:

1/2025

Document Language:

English

Document ID (Org No.):

2001345220

pISSN:

2536-4618

soft hyperdimonoid

soft subhyperdimonoid.

soft sets hyperdiominds

Issues

Article Details

On the Generalization of Soft Dimonoids

Authors: Gülay Oğuz

Publisher: Igdir University

Main Topics: Grup Teorisi ve Genellemeler | Matematiksel Mantık | Kümeler Teorisi | Kafesler ve Evrensel Cebir

Journal: Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.692-699

Document Type: Article

Publication Date: 1/2025

Document Language: English

Document ID (Org No.): 2001345220

pISSN: 2536-4618

soft hyperdimonoid

soft subhyperdimonoid.

soft sets hyperdiominds

Issues

Authors:

Gülay Oğuz

Publisher:

Igdir University

Main Topics:

Grup Teorisi ve Genellemeler | Matematiksel Mantık | Kümeler Teorisi | Kafesler ve Evrensel Cebir

Journal:

Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Vol.15 Issue 2, pp.692-699

Document Type:

Article

Publication Date:

1/2025

Document Language:

English

Document ID (Org No.):

2001345220

pISSN:

2536-4618